183 citations · 488 across the 32 of their papers we have counts for
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Study of invariance of nonextensive statistics under the uniform energy spectrum translation
A. S. Parvan
The general formalisms of the -dual statistics, the Boltzmann-Gibbs statistics, and three versions of the Tsallis statistics known as Tsallis-1, Tsallis-2, and Tsallis-3 statist…
Remarks on the phenomenological Tsallis distributions and their link with the Tsallis statistics
A. S. Parvan, T. Bhattacharyya
From the Tsallis unnormalized (or Tsallis-2) statistical mechanical formulation, Büyükkiliç {\it et al.} [Phys. Lett. A 197, 209 (1995)] derived the expressions for the single-part…
The statistics of mesoscopic systems and the physical interpretation of extensive and non-extensive entropies
Dragos-Victor Anghel, Alexandru S. Parvan
The postulates of thermodynamics were originally formulated for macroscopic systems. They lead to the definition of the entropy, which, for a homogeneous system, is a homogeneous f…
Nonextensive statistics based on Landsberg-Vedral entropy
A. S. Parvan
The general formalism for the nonextensive statistics based on the Landsberg-Vedral entropy was derived. The formula for the first law of thermodynamics and the exact relations of…
Equilibrium statistical mechanics for incomplete nonextensive statistics
A. S. Parvan, T. S. Biro
The incomplete nonextensive statistics in the canonical and microcanonical ensembles is explored in the general case and in a particular case for the ideal gas. By exact analytical…
Critique of multinomial coefficients method for evaluating Tsallis and Renyi entropies
A. S. Parvan
Oikonomou [Physica A 386 (2007) 119] has published a calculation which purports to show that the Tsallis and Renyi entropies can be obtained from the generalized multinomial coeffi…
Renyi statistics in equilibrium statistical mechanics
A. S. Parvan, T. S. Biro
The Renyi statistics in the canonical and microcanonical ensembles is examined in the general case and in particular for the ideal gas. In the microcanonical ensemble the Renyi sta…
Extensive statistical mechanics based on nonadditive entropy: Canonical ensemble
A. S. Parvan
The original canonical ensemble formalism for the nonextensive entropy thermostatistics is reconsidered. It is shown that the unambiguous connection of the statistical mechanics wi…
Microcanonical Ensemble Extensive Thermodynamics of Tsallis Statistics
A. S. Parvan
The microscopic foundation of the generalized equilibrium statistical mechanics based on the Tsallis entropy is given by using the Gibbs idea of statistical ensembles of the classi…